Criteria for stochastic pinning control of networks of chaotic maps

Violet Mwaffo, Pietro DeLellis, Maurizio Porfiri

Research output: Contribution to journalArticle

Abstract

This paper investigates the controllability of discrete-time networks of coupled chaotic maps through stochastic pinning. In this control scheme, the network dynamics are steered towards a desired trajectory through a feedback control input that is applied stochastically to the network nodes. The network controllability is studied by analyzing the local mean square stability of the error dynamics with respect to the desired trajectory. Through the analysis of the spectral properties of salient matrices, a toolbox of conditions for controllability are obtained, in terms of the dynamics of the individual maps, algebraic properties of the network, and the probability distribution of the pinning control. We demonstrate the use of these conditions in the design of a stochastic pinning control strategy for networks of Chirikov standard maps. To elucidate the applicability of the approach, we consider different network topologies and compare five different stochastic pinning strategies through extensive numerical simulations.

Original languageEnglish (US)
Article number013101
JournalChaos
Volume24
Issue number1
DOIs
StatePublished - 2014

Fingerprint

Pinning Control
Chaotic Map
Stochastic Control
Controllability
Trajectories
controllability
Probability distributions
Feedback control
Trajectory
Standard Map
Mean-square Stability
Coupled Maps
Topology
Network Dynamics
Local Stability
trajectories
Spectral Properties
Network Topology
Feedback Control
Computer simulation

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Criteria for stochastic pinning control of networks of chaotic maps. / Mwaffo, Violet; DeLellis, Pietro; Porfiri, Maurizio.

In: Chaos, Vol. 24, No. 1, 013101, 2014.

Research output: Contribution to journalArticle

Mwaffo, Violet ; DeLellis, Pietro ; Porfiri, Maurizio. / Criteria for stochastic pinning control of networks of chaotic maps. In: Chaos. 2014 ; Vol. 24, No. 1.
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